Lower Fence Calculator (Tukey Fences)

Your details

Enter numbers separated by commas, spaces, or new lines. Order does not matter; the calculator sorts them automatically.
The IQR multiplier used in Tukey's fence formula. 1.5 is the standard for mild outliers; 3.0 is used for extreme outliers.
Lower Fence1 outlier detected
-2.75

Values below this threshold are flagged as potential outliers.

Upper Fence19.25
Q1 (25th percentile)5.5
Q3 (75th percentile)11
IQR (Interquartile Range)5.5
Outlier Count1
Outliers35
Sample Size (n)11
Lower Fence-2.75
Q15.5
Q311
Upper Fence19.25

Lower fence: -2.7500 - 1 value outside the fences.

  • Your interquartile range is 5.5000, spanning Q1 = 5.5000 to Q3 = 11.0000.
  • With a multiplier of 1.5, the fences extend 8.2500 beyond each quartile.
  • 1 of 11 values (9.1%) lie outside the fences and are potential outliers: 35.

Next stepInspect each outlier: decide whether it is a genuine extreme value, a data-entry error, or a sign that your data has a heavy-tailed distribution. Removing outliers without justification can bias your analysis.

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